If an angle is 10∘10 ∘ less than its supplement, find the angle.

Step 1: Understand the problem The problem is asking to find an angle that is 10 degrees less than its supplement.

Step 2: Define the terms A supplementary angle is an angle that, when added to the given angle, equals 180 degrees.

Step 3: Set up the equation Let's denote the angle we're looking for as x. Its supplement is then 180 - x. According to the problem, the angle is 10 degrees less than its supplement, so we can write the equation as follows: x = 180 - x - 10.

Step 4: Solve the equation To solve for x, first simplify the equation: x = 170 - x. Then, add x to both sides to get 2x = 170. Finally, divide both sides by 2 to solve for x: x = 85.

So, the angle is 85 degrees.